1015434200000 has 168 divisors, whose sum is σ = 2747560426128. Its totient is φ = 369248000000.

The previous prime is 1015434199987. The next prime is 1015434200009. The reversal of 1015434200000 is 24345101.

It is a super-2 number, since 2×1015434200000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1015434200009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1969220 + ... + 2430780.

It is an arithmetic number, because the mean of its divisors is an integer number (16354526346).

Almost surely, 2^{1015434200000} is an apocalyptic number.

1015434200000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1015434200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373780213064).

1015434200000 is an abundant number, since it is smaller than the sum of its proper divisors (1732126226128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1015434200000 is an frugal number, since it uses more digits than its factorization.

1015434200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461609 (or 461579 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 1015434200000 its reverse (24345101), we get a palindrome (1015458545101).

The spelling of 1015434200000 in words is "one trillion, fifteen billion, four hundred thirty-four million, two hundred thousand".